“…For the Al 2 O 3 -containing samples (Figure a), the Al 2p peaked at 73.0 eV, and the Ni 3p 1/2 peak and Ni 3p 3/2 peak were at 69.1 eV and 64.7–66.4 eV, respectively. In the Ni 2p spectra (Figure b), peaks with a binding energy at around 851.0 eV corresponded to metallic Ni (Ni 0 ), ,,, while peaks at around 854.5 and 872.0 eV were attributed to Ni 2p 3/2 and Ni 2p 1/2 of Ni 2+ oxidation states, respectively. ,,,− In the Ce 3d spectra (Figure c; for the sample containing CeO 2 ), the peaks labeled as u (899.0 eV), u ″ (906.2 eV), and u ″′ (915.0 eV) corresponded to the 3d 3/2 of Ce 4+ oxidation states, while peaks labeled as v (878.5 eV), v ″ (887.1 eV), and v ″′ (896.5 eV) were associated with the 3d 5/2 of Ce 4+ oxidation states. ,, On the other hand, peaks labeled as u ′ (901.0 eV) and v ′ (881.0 eV) corresponded to the 3d 3/2 and 3d 5/2 of Ce 3+ oxidation states, respectively. ,, By calculation, the fraction of Ce 3+ in Ce compounds (i.e., defined as Ce 3+ /(Ce 3+ + Ce 4+ )) was found to be 17.6, 18.0, 18.3, and 17.9% for 10Ni/1Ce, 10Ni/5Ce, 10Ni–1Ce/5Al, and 15Ni–1Ce/5Al, respectively. The results indicate the formation of oxygen vacancies (i.e., for the charge balance of Ce 4+ to Ce 3+ ) during the aerosol-based synthesis .…”